Are the polygons similar show work please

A bridge in the shape of an arch connects two cities separated by a river. The two ends of the bridge are located at (–7, –13) a

Zepler [3.9K]

We can use the formula for a parabola: $y = c(x - a) + b$ where
$(a,b)$ is the origin of the parabola and $c$ is some constant scaling factor.

We are given that the center of the arch on the bridge is $(0, 0)$ . This is our origin. So our equation is:

$y = c(x - 0)^2 + 0 = cx^2$

Now we just need to find c. We can do this by plugging in one of the other points given:

$-13 = c*7^2$
$\frac{-13}{49} = c$

So our final equation for the arch of the bridge is:

$y = \frac{-13}{49}x^2$

3 0

3 years ago

The average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, while the average 30- to 39-yea

andre [41]

Answer:

b) LeBron is relatively taller because he has a larger z-score.

Step-by-step explanation:

Z-score:

In a set with mean $\mu$ and standard deviation $\sigma$ , the z-score of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

LeBron James:

Height of 81 inches, while the average 30- to 39-year old man is 69.5 inches tall, with a standard deviation of 2.7 inches, which means that we have to find Z when $X = 81, \mu = 69.5, \sigma = 2.7$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{81 - 69.5}{2.7}$

$Z = 4.26$

Candace Parker:

Height of 76 inches, while the average 30- to 39-year old woman is 64.2 inches tall, with a standard deviation of 3.2 inches. This means that we have to find Z when $X = 76, \mu = 64.2, \sigma = 3.2$

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{76 - 64.2}{3.2}$

$Z = 3.69$

Who is relatively taller?

Due to the higher z-score, LeBron James, and thus, the correct answer is given by option b.

7 0

3 years ago

100 POINTS

olga nikolaevna [1]

Answer:

5.2

Step-by-step explanation:

To find the height of the plant after 7 weeks, we need to find out the equation of the line of best fit and plug in 7 for x. We already have our y - intercept, which is 1, and we have a point on the x axis for which the y coordinate is an integer, (5, 4). Since we already have the y - intercept of +1 we have y = mx + 1. Since this applies to (5,4) we can plug this in to our equation. This is then 4 = 5m + 1. Subtracting 1 from both sides, we get 3 = 5m. Dividing by 5, we receive m = 3/5. Since now we have our slope, we can plug in 7 and find out our answer. Plugging in 7 we receive, y = 3/5 * 7 + 1, which is equal to y = 4.2 + 1. This means that y = 5.2, so 5.2 is our answer.

6 0

4 years ago

Read 2 more answers

Stephanie took a science exam that had two parts.

patriot [66]

Answer:

44 questions

Step-by-step explanation:

Part 1: She got 16 questions correct, which was 4/5 of the number of part 1 questions.

Let x = total number of questions in part 1

4/5x = 16

Divide both sides by 4/5

x = 16 ÷ 4/5

= 16 × 5/4

= 20

x = 20

There are 20 questions in part 1

She got 16 questions correct, which was 2/3 of the number of part 2 questions.

Let y = number of questions in part 2

2/3y = 16

Divide both sides by 2/3

y = 16 ÷ 2/3

= 16 × 3/2

= 24

y = 24

There are 24 questions in part 2

The total number of questions on Stephanie’s exam = part 1 + part 2

= 20 + 24

= 44 questions

8 0

3 years ago

Is this true or false?

marusya05 [52]

Answer:

TRUE

Step-by-step explanation:

4 0

3 years ago